Passive offset and overshoot cancellation for sampled-data circuits

ABSTRACT

A zero-crossing detector with effective offset cancellation includes a set of series connected capacitors and an amplifier having an input terminal. An offset capacitor is operatively connected between the amplifier and the set of series connected capacitors. A switch is operatively connected to the input terminal, and an offset sampling capacitor is operatively connected to the switch. The switch connects the offset sampling capacitor to the input terminal of the amplifier during a charge transfer phase.

CROSS REFERENCE TO RELATED PATENT APPLICATIONS

The present application is a divisional of and claims priority, under 35 U.S.C. §120, U.S. patent application Ser. No. 12/484,469, filed on Jun. 15, 2009, now U.S. Pat. No. 8,305,131 which is a continuation-in-part of U.S. patent application Ser. No. 11/686,739, filed on Mar. 15, 2007, now U.S. Pat. No. 7,843,233, which claims priority, under 35 U.S.C. §119(e), from U.S. Provisional Patent Application Ser. No. 60/743,601, filed on Mar. 21, 2006, all of which are herein incorporated by reference.

BACKGROUND

Most sample-data analog circuits such as switched-capacitor filters, analog-to-digital converters, and delta-sigma modulators require operational amplifiers to process the signal. Consider a switched-capacitor integrator example shown in FIG. 2. First, the switches S₁₁ and S₁₃ are closed so that the input voltage v_(1n) is sampled on the sampling capacitor C_(S1). Next, the switches S₁₁ and S₁₃ are opened and S₁₂ and S₁₄ are closed. This operation transfers the charge in the sampling capacitor C_(S1) to the integrating capacitor C₁₁. The output voltage, v_(out), of a first integrator 1100 is typically sampled by another sample-data circuit, for example, another switched-capacitor integrator.

In the circuit shown in FIG. 2, the circuit consisting of switches S₂₁, S₂₂, S₂₃, S₂₄, and a second sampling capacitor C_(S2) comprise a part of the second switched-capacitor integrator. The output voltage, v_(out), of the first integrator 10 is sampled on the second sampling capacitor C_(S2) by closing switches S₂₁ and S₂₃.

An example of a timing diagram is shown in FIG. 3. The clock signal has two non-overlapping phases φ₁ and φ₂. The phase φ₁ is applied to switches S₁₁, S₁₃, S₂₁, and S₂₃, and phase φ₂ is applied to switches S₁₂, S₁₄, S₂₂, and S₂₄. With this timing, the circuit performs non-inverting discrete integration with full clock delay. The waveforms at the output of the integrator, v_(out), and at the virtual ground node 100, v₁, are also shown in FIG. 3. Different clock phasing arrangements yield different responses from the integrator. For example, if φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and phase φ₁ is applied to switches S₁₂, S₁₄, S₂₁, and S₂₃, the circuit performs non-inverting integration with half-clock delay.

For an accurate integration of the input signal, v₁ must be driven as close to ground as possible. In order to accomplish this, the operational amplifier must provide sufficient open-loop gain and low noise. In addition, for fast operation, the operational amplifier 10 of FIG. 2 must settle fast.

In FIG. 3, the voltage v₁ is shown to settle back to ground after a disturbance when the sampling capacitor C_(S1) is switched to Node 100 by closing S₁₂ and S₁₄. In addition to high open-loop gain and fast settling time, operational amplifiers must provide large output swing for high dynamic range. As the technology scales, it becomes increasingly difficult to achieve these characteristics from operational amplifiers. The primary factors that make the operational amplifier design difficult are low power supply voltages and low device gain.

As noted above, accurate output voltage can be obtained if Node 100 in FIG. 2 is maintained precisely at ground. However, in sample-data circuits, the only point of time accurate output voltage is required is at the instant the output voltage is sampled by another sampling circuit. Thus, it is not necessary to maintain the voltage at Node 100 at ground all the time.

Zero-crossing detectors can be applied in other switched-capacitor circuits such as algorithmic and pipeline analog-to-digital converters, delta-sigma converters, and amplifiers. These applications often require constant voltage sources, referred to as reference voltages.

Therefore, it is desirable to provide zero-crossing detectors in algorithmic analog-to-digital converters, pipeline analog-to-digital converters, delta-sigma converters, and amplifiers, which substantially eliminate or reduce overall offset in the converters, without a significant increase in power consumption.

BRIEF DESCRIPTION OF THE DRAWINGS

Reference will be made to embodiments of the invention, examples of which may be illustrated in the accompanying figures. These figures are intended to be illustrative, not limiting. Although the invention is generally described in the context of these embodiments, it should be understood that it is not intended to limit the scope of the invention to these particular embodiments.

FIG. 1 illustrates a zero-crossing detector.

FIG. 2 illustrates a switched-capacitor integrator.

FIG. 3 illustrates a timing diagram for the switched-capacitor integrator of FIG. 2.

FIG. 4 illustrates a non-inverting integrator according to the concepts of the present invention.

FIG. 5 illustrates a timing diagram for the non-inverting integrator of FIG. 4.

FIG. 6 illustrates a non-inverting integrator with a waveform generator being a current source according to the concepts of the present invention.

FIG. 7 illustrates another non-inverting integrator according to the concepts of the present invention.

FIG. 8 illustrates a timing diagram for the non-inverting integrator of FIG. 7.

FIG. 9 illustrates another non-inverting integrator according to the concepts of the present invention.

FIG. 10 illustrates another non-inverting integrator according to the concepts of the present invention.

FIG. 11 illustrates a timing diagram for the non-inverting integrator of FIG. 10.

FIG. 12 illustrates another non-inverting integrator according to the concepts of the present invention.

FIG. 13 illustrates another non-inverting integrator according to the concepts of the present invention.

FIG. 14 illustrates a timing diagram for the non-inverting integrator of FIG. 13.

FIG. 15 illustrates a closed-loop offset cancellation circuit.

FIG. 16 illustrates an open-loop offset cancellation circuit.

FIG. 17 illustrates a timing diagram for the open-loop offset cancellation circuit of FIG. 16.

FIG. 18 illustrates another timing diagram for the open-loop offset cancellation circuit of FIG. 16.

FIG. 19 illustrates another open-loop offset cancellation circuit.

FIG. 20 illustrates a third timing diagram for the open-loop offset cancellation circuit of FIG. 19.

FIG. 21 illustrates a zero-crossing detector circuit with offset cancellation.

FIG. 22 illustrates another zero-crossing detector circuit with offset cancellation.

FIG. 23 illustrates a third zero-crossing detector circuit with offset cancellation.

FIG. 24 illustrates a fourth zero-crossing detector circuit with offset cancellation.

FIG. 25 illustrates a fully-differential implementation of the fourth zero-crossing detector circuit of FIG. 24.

FIG. 26 illustrates another zero-crossing detector circuit with passive offset and overshoot cancellation during a charge transfer phase.

FIG. 27 illustrates another zero-crossing detector circuit with passive offset and overshoot cancellation during a sampling phase.

DETAILED DESCRIPTION OF THE PRESENT INVENTION

For a general understanding of the present invention, reference is made to the drawings. In the drawings, like reference have been used throughout to designate identical or equivalent elements. It is also noted that the various drawings illustrating the present invention may not have been drawn to scale and that certain regions may have been purposely drawn disproportionately so that the features and concepts of the present invention could be properly illustrated.

It is noted that, in the various FIGS., the earth symbol indicates the system's common-mode voltage. For example, in a system with 2.5 V and −2.5 V power supplies, the system's common-mode voltage may be at ground. In a system with a single 2.5 power supply, the system's common-mode voltage may be at 1.25 V.

As noted above, accurate output voltage can be obtained if Node 100 in FIG. 2 is maintained precisely at ground. However, in sampled-data circuits, the only point of time accurate output voltage is required is at the instant the output voltage is sampled by another sampling circuit. Thus, it is not necessary to maintain the voltage at Node 100 at ground all the time.

FIG. 4 illustrates a non-inverting integrator according to the concepts of the present invention. More specifically, as an example, a non-inverting integrator with half-clock delay is illustrated in FIG. 4.

As illustrated in FIG. 4, a clock phase φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and another phase φ₂ is applied to switches S₁₂, S₁₄, and S₂₁. A zero crossing detector 30 is used to detect the point of time at which Node 100 crosses ground. The switch S₂₃ is controlled by the output of the zero crossing detector 30. The output of the zero crossing detector 30 is used to determine the time point to take the sample of the output voltage v_(out). A waveform generator 20 generates a voltage waveform as the output voltage v_(out) in such way the voltage at Node 100 crosses zero if the charge in capacitors C_(S1) and C₁₁ is within a normal operating range.

In the timing diagram shown in FIG. 5, the waveform generated by the waveform generator 20 is shown as a ramp. When v₁, the voltage at Node 100, crosses zero at time t₁, the output v_(zc) of the zero crossing detector 30 goes low, turning the switch S₂₃ OFF. At that instant, the output voltage v_(out) is sampled on C_(S2).

Since v₁ is very close to zero when the sample of v₂ is taken, an accurate output voltage is sampled on C_(S2). A similar operation repeats during the next clock cycle, and the sample of the output voltage is taken at time t₂.

It is noted that the zero crossing detector 30 may optionally have an overflow detection feature that determines when the charge in capacitors C_(S1) and C_(I1) is outside the normal range of operation. It can be implemented by a logic circuit that makes the output v_(zc) of the zero-crossing detector 30 to go low when φ₂ goes low.

In the event v₁ fails to cross zero, the sample is taken on the falling edge of φ₂. At the same time, the logic circuit produces a flag indicating overflow.

In the embodiment described above and in the various embodiments described below, a zero crossing detector is utilized in lieu of a comparator. Typically, a comparator is designed to compare two arbitrary input voltages. A comparator may be implemented as cascaded amplifiers, a regenerative latch, or a combination of both. A comparator may be used to detect a zero voltage level or a predetermined voltage level crossing.

It is noted that the input waveform of the various described embodiments is not arbitrary, but deterministic and repetitive. Thus, the various described embodiments determine the instant the zero voltage level or the predetermined voltage level is crossed than relative amplitudes of the input signals. For such a deterministic input, a zero crossing detector is more efficient.

An example of a zero-crossing detector for the detection of a positive-going input signal is shown in FIG. 1. Initially, node 1 and node 2 are precharged to V_(DD) and ground, respectively. The ramp input voltage V_(1n) is applied according to the zero crossing circuit. At the time the input node crosses the threshold, node 1 is discharged rapidly, and node 2 is pulled up to V_(DD). Since the zero crossing detector in FIG. 1 is a dynamic circuit, there is no DC power consumption, allowing extremely low power and fast operation. For the detection of zero-crossing of a negative-going signal, a complementary circuit with a PMOS input transistor can be utilized.

As illustrated in FIG. 6, the non-inverting integrator includes a waveform generator which is a current source 200. As illustrated in FIG. 6, a clock phase φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and another phase φ₂ is applied to switches S₁₂, S₁₄, and S₂₁. A zero crossing detector 30 is used to detect the point of time at which Node 100 crosses ground. The switch S₂₃ is controlled by the output of the zero crossing detector 30. The output of the zero crossing detector 30 is used to determine the time point to take the sample of the output voltage v_(out).

The current source 200 charges the capacitors C_(S2) and the series connected C_(S1) and C_(I1), generating a ramp. At the start of φ₂, the output is briefly shorted to a known voltage V_(NEG), the value of which is chosen to ensure the voltage v₁ at Node 100 crosses zero with signals in the normal operating range.

As illustrated in FIG. 7, the non-inverting integrator includes a waveform generator 20 that produces, preferably, a plurality of segments in the waveform with varying rate of change of the output voltage. The first segment may be controlled so as to have the highest rate of change, with subsequent segments having progressively lower rate of change. The detection of zero crossing by the zero crossing detector 30 causes the waveform to advance to the next segment. An output signal v_(zc2) of the zero crossing detector 30 remains high until the zero crossing is detected in the last segment of the waveform

One clock cycle of the timing diagram is shown in FIG. 8. At the start of φ₂, the waveform generator 20 produces an up ramp. The voltage v₁ is shown to cross zero at time t₁. One output, v_(zc1), of the zero crossing detector 30 changes its state after a finite delay t_(d1).

The delay t_(d1) represents finite delay of a typical zero crossing detector 30. This change of state advances the waveform to the next segment.

Due to the delay t_(d1) of the zero crossing detector 30, the voltage v₁ overshoots by a small amount above ground. The second segment of the waveform generator is a down ramp to permit another zero crossing at time t₂. After a second delay t_(d2), the output v_(zc2) of the zero crossing detector 30 goes low, causing the switch S₂₃ to turn OFF, locking the sample of the output voltage v_(out).

The delay t_(d2) of the second zero crossing is not necessarily the same as the delay associated with the first zero crossing t_(d1). The delay t_(d2) contributes a small overshoot to the sampled output voltage. The effect of the overshoot can be shown to be constant offset in the sampled charge. In most sample-data circuits, such constant offset is of little issue.

The zero crossing detector 30 preferably becomes more accurate in detecting the zero crossing as the segments of the waveform advances. The first detection being a coarse detection, it doesn't have to be very accurate. Therefore, the detection can be made faster with less accuracy. The last zero crossing detection in a given cycle determines the accuracy of the output voltage. For this reason, the last zero crossing detection must be the most accurate.

The accuracy, speed, and the power consumption can be appropriately traded among progressive zero crossing detections for the optimum overall performance. For example, the first detection is made less accurately and noisier but is made faster (shorter delay) and lower power. The last detection is made more accurately and quieter while consuming more power or being slower (longer delay).

An example of a two-segment waveform generator constructed of two current sources (210 and 220) is shown in FIG. 9. As illustrated in FIG. 9, a clock phase φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and another phase φ₂ is applied to switches S₁₂, S₁₄, and S₂₁. A zero crossing detector 30 is used to detect the point of time at which Node 100 crosses ground. The switch S₂₃ is controlled by the output of the zero crossing detector 30. The output of the zero crossing detector 30 is used to determine the time point to take the sample of the output voltage v_(out).

Current sources 210 and 220 charge the capacitors C_(S2) and the series connected C_(S1) and C_(I1) generating two segments of a ramp waveform. At the start of φ₂, the output is briefly shorted to a known voltage V_(NEG), the value of which is chosen to ensure the voltage v₁ crosses zero with signals in the normal operating range. During the first segment, the current source 210 is directed to the output, while during the second segment, the current source 220 is directed to the output, generating two different slopes of ramp.

As illustrated in FIG. 10, the non-inverting integrator includes a level crossing detector 300 having plurality of thresholds. As illustrated in FIG. 10, a clock phase φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and another phase φ₂ is applied to switches S₁₂, S₁₄, and S₂₁. A level crossing detector 300 is used to detect the point of time at which Node 100 crosses one of plurality of predetermined levels as discussed below. The switch S₂₃ is controlled by the output of the level crossing detector 300. The output of the level crossing detector 300 is used to determine the time point to take the sample of the output voltage v_(out).

The thresholds are predetermined voltage levels. The thresholds of the level crossing detector 300 can be adjusted to minimize overshoot.

For example, the threshold for the first detection may be made negative by a slightly smaller amount than the expected overshoot in the first segment. This minimizes the ramp-down time in the second segment. Also, the threshold for the second segment may be made more positive by the amount of the overshoot in the second segment in order to cancel the effect of the overshoot.

Alternatively, the threshold for the first segment may be made more negative than the expected overshoot during the first segment. This permits the second segment to be a positive ramp rather than a negative ramp as shown in FIG. 11.

It is advantageous to make the detection during the last segment to be the most accurate detection. The accuracy of the detection during the last segment is made higher than during other segments. This can be achieved by making the delay longer or making the power consumption higher during the last segment.

As illustrated in FIG. 12, the non-inverting integrator includes a level crossing detector having two zero-crossing detectors, Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320). As illustrated in FIG. 12, a clock phase φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and another phase φ₂ is applied to switches S₁₂, S₁₄, and S₂₁. Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320) are used to detect the point of time at which Node 100 crosses one of plurality of predetermined levels as discussed below. The switch S₂₃ is controlled by the output of the Zero Crossing Detector 2 (320). The output of the Zero Crossing Detector 2 (320) is used to determine the time point to take the sample of the output voltage v_(out).

The thresholds of the Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320) are selected to minimize overshoot. For example, the threshold for Zero Crossing Detector 1 (310) may be made negative by a slightly smaller amount than the expected overshoot in the first segment. This minimizes the ramp-down time in the second segment. Also, the threshold for Zero Crossing Detector 2 (320) may be made more positive by the amount of the overshoot in the second segment in order to cancel the effect of the overshoot. Alternatively, the threshold for Zero Crossing Detector 1 (310) may be made more negative than the expected overshoot during the first segment. This permits Zero Crossing Detector 2 (320) to be a positive ramp rather than a negative ramp.

In other words, Zero Crossing Detector 1 (310) makes a coarse detection, whereas Zero Crossing Detector 2 (320) makes a fine detection. Thus, it is advantageous to make Zero Crossing Detector 2 (320) to have a higher accuracy.

As illustrated in FIG. 13, the non-inverting integrator includes a level crossing detector having two zero-crossing detectors, Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320). As illustrated in FIG. 13, a clock phase φ₁ is applied to switches S₁₁, S₁₃, S₂₂, and S₂₄, and another phase φ₂ is applied to switches S₁₂, S₁₄, and S₂₁. Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320) are used to detect the point of time at which Node 100 crosses one of plurality of predetermined levels as discussed below. The switch S₂₃ is controlled by the output of the Zero Crossing Detector 2 (320). The output of the Zero Crossing Detector 2 (320) is used to determine the time point to take the sample of the output voltage v_(out).

Both detectors, Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320), have nominally zero thresholds. The detection thresholds are determined by voltages V_(tr1) and V_(tr2) applied to the inputs of Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320), respectively. Zero Crossing Detector 1 (310) makes a coarse detection, whereas Zero Crossing Detector 2 (320) makes a fine detection. Thus, it is advantageous to make Zero Crossing Detector 2 (320) to have a higher accuracy.

It is noted that the above-described embodiment may operate as a self-timed system. In this configuration, Rather than supplying constant frequency clock phases φ₁ and φ₂, the clock phases are derived from the outputs of Zero Crossing Detector 1 (310) and Zero Crossing Detector 2 (320). FIG. 14 illustrates a self-timed operation.

As illustrated in FIG. 14, the end of the phase φ₂ is defined by the output of the detection during the last segment. The beginning of the clock phase φ₁ is defined by a short delay, such as logic delays, after the end of φ₂. The short delay is generally necessary to ensure non-overlapping clock phases. The end of the clock phase φ₁ is determined by the zero crossing detection of the previous stage or the following stage in the similar manner.

It is noted that zero crossing detector based circuits require substantially less power consumption compared with operational amplifier based circuits at a given sampling rate and signal-to-noise ratio because the noise bandwidth of a zero crossing detector is much lower than that of an operational amplifier at a given sampling rate. Zero crossing detectors can be applied in other switched-capacitor circuits such as algorithmic and pipeline analog-to-digital converters, delta-sigma converters, and amplifiers.

In applications where high precision is required, the effects of the offset voltage due to device mismatch must be mitigated. In switched-capacitor circuits, offset cancellation techniques are often employed to reduce the offset voltage.

An example of a circuit with closed-loop offset cancellation is illustrated in FIG. 15. As illustrated in FIG. 15, during the sampling phase, the input voltage V_(IN) is applied to the sampling capacitor C_(S), and the switch S₁ is closed. The voltage sampled on C_(S) is V_(IN)−V_(OS). The voltage sampled on Cs cancels the effect of offset voltage due to device mismatch. It is noted that a control or logic circuit (not shown) is utilized to control the operations of switches S₁ and S₂.

In zero-crossing detector based circuits, similar closed-loop offset cancellation results are feasible by closing the loop around the first stage of the zero-crossing detector. The noise bandwidth during the closed-loop offset sampling is comparable to that in operational amplifier based circuits. The high noise bandwidth of the closed-loop offset sampling adds significant amount of noise and at least partially negates the low noise advantage of zero-crossing detector based circuits.

An open-loop offset cancellation is illustrated in FIG. 16. As illustrated in FIG. 16, open-loop offset cancellation can be used with voltage comparators. The timing diagram for the open-loop offset cancellation is shown in FIG. 17. During the offset sampling phase, T_(OS), the input of the first amplifier A₁ is connected to ground through switch S₁. The input of the second amplifier A₂ is also connected to ground by closing the switch S₂. The output voltage of the first amplifier A₁ settles to −a₁V_(OS), where a₁ is the voltage gain of the amplifier A₁.

The settling time constant is equal to R_(o)C where R_(o) is the Thevenin output resistance of the first amplifier A₁, and C is the parallel combination of parasitic capacitance C_(p1) and C_(OS). The switch S₂ is then opened, whereby −a₁V_(OS) is sampled and held across the offset storage capacitor C_(OFF). During the normal operation phase, switch S₁ connects the input of first amplifier A₁ to the voltage V_(IN). The effective input voltage to first amplifier A₁ is V_(IN)-V_(OS) due to the effect of the offset voltage V_(OS).

The output voltage of first amplifier A₁ is then a₁(V_(IN)−V_(OS)). The input voltage to second amplifier A₂ is a₁(V_(IN)−V_(OS))−(a₁V_(OS))=a₁V_(IN). Thus, the effect of the offset voltage of the first amplifier A₁ is removed.

For accurate offset cancellation, the offset cancellation phase T_(OS) must be at least several times longer than the time constant. This requires wide bandwidth in the first amplifier A₁ that corresponds to high noise. Although it is possible to employ the open-loop offset cancellation in zero-crossing detectors, as with the closed-loop offset cancellation, the high noise bandwidth of the open-loop offset sampling adds significant amount of noise and partially negates the low noise advantage of zero-crossing detector based circuits.

As noted above, it is desirable to provide offset cancellation in zero crossing detectors without substantially increasing the noise of zero-crossing detectors. An example of offset cancellation in zero crossing detectors can be realized using the same circuit structure, as illustrated in FIG. 15, but with different timing and a different capacitor value for C_(OFF). An example of a timing diagram for offset cancellation in zero crossing detectors is shown in FIG. 18.

As illustrated in FIG. 18, the offset cancellation phase T_(OFF) is divided into two sub-phases, T₁ and T₂. During the phase T₁, switch S₁ is connected to ground while switch S₂ is still open. The settling time constant ₁ during this phase is approximately R_(o)(C_(p1)+C_(p2)), assuming C_(OFF)>>C_(p2). Since both C_(p1) and C_(p2) are small parasitic capacitances, ₁ is short. Therefore, the output voltage V₀₁ quickly settles to −a₁V_(OS).

During the phase T₂, switch S₂ is closed with switch S₁ still connected to ground. The offset storage capacitor C_(OFF) is made substantially larger such that the settling time constant ₂=R_(o)C during T₂ is comparable to or longer than T₂. Such a long time constant reduces the noise bandwidth during the phase T₂, The bandwidth of noise sampled in C_(OFF) is determined by ₂, thereby providing low noise.

Although ₂ is long, the accuracy of offset cancellation is not affected because the voltage across C_(OFF) reaches −a₁V_(OS), and there is no change in the voltage across C_(OFF) during T₂. In practice, small disturbance in the voltage occurs at the time switch S₂ is closed due to capacitive coupling. The disturbance is constant and also reduced by a₁ when referred to the input, and hence poses little concern in most systems.

After the offset cancellation is complete, the switch S₁ is connected to V_(IN), and switch S₂ is open for normal operation as a zero-crossing detector or a comparator.

In another zero-crossing detector according to the second embodiment is shown to have two amplifier stages, first stage amplifier A₁, and the second stage amplifier S₂ as shown in FIG. 19. The second stage amplifier A₂ may be either a linear amplifier or a regenerative latch. The switch S₃ and the capacitor C_(OFF2) perform averaging of sampled noise to lower the noise. The timing diagram is shown in FIG. 20.

During the offset cancellation phase T_(OFF), the input of the first amplifier A₁ is connected to ground by throwing the switch S₁ to the upper position. The input of the second amplifier A₂ is also connected to ground by closing the switch S₂. The output voltage of the first amplifier A₁ settles to −a₁V_(OS).

The capacitor C_(OFF1) is made sufficiently small so that the output settles to an accurate value during T_(OFF). At the end of T_(OFF), the switch S₂ is then opened, whereby −a₁V_(OS) is sampled and held across the capacitor C_(OFF1). During the normal operation phase following the offset cancellation phase, S₁ is thrown the input voltage Y_(IN), and S₃ is closed.

After a few clock cycles of operation, the voltage across C_(OFF2) converges to the voltage sampled on C_(OFF1), −a1V_(OS). Since C_(OFF2) is larger than C_(OFF1), the sampled noise is averaged and reduced by a factor of (1+C_(OFF2)/C_(OFF1))^(1/2). The effective input voltage to A₁ is V_(IN)−V_(OS) due to the effect of the offset voltage V_(OS). The output voltage of A₁ is then a₁(V_(IN)−V_(OS)). The input voltage to A₂ is a₁(V_(IN)−V_(OS))−(−a₁V_(OS))=a₁V_(IN). Thus, the effect of the offset voltage of the first amplifier A₁ is removed, but the sampled noise is substantially lower.

Another example of offset cancellation is illustrated in FIG. 21. For clarity, a zero-crossing detector based integrator similar to that illustrated in FIG. 4 is shown. The current source I produces ramp waveforms, functioning as a waveform generator. The current source I_(OFF) and the capacitor C_(OFF) sample the offset voltage of the zero-crossing detector ZCD1 to cancel its effect. During the offset cancellation phase, one input IN₁ is grounded by closing switches S₁₃ and S₁₄. The switch S_(FB) is left open in order not to disturb the charge on the integrating capacitor C_(I1). Switch S_(OFF2) is closed, and switch S_(OFF1) is briefly closed to precharge the capacitor C_(OFF) to a voltage V_(OFF). Next, switch S_(OFF1) is opened, and I_(OFF) is integrated on C_(OFF). The value of I_(OFF) is chosen in such way that the voltage at node IN₂ ramps down during offset cancellation at approximately the same rate as the node voltage IN₂ ramps up during the normal operation.

When the zero-crossing detector ZCD1 detects the crossing of the voltage V₂ at the input IN₂ of ground potential, the switch S_(OFF2) is turned OFF. Shortly after, the current source I_(OFF) is turned OFF, sampling the voltage on C_(OFF). The voltage sampled on C_(OFF) is shown to be substantially equal in magnitude and opposite in sign to the offset V_(OS) of the zero-crossing detector ZCD1.

During the subsequent operation of the circuit as an integrator, switch S_(OFF1) is turned OFF, and switch S_(OFF2) is left ON. The voltage at the input IN₂ at the ZCD1 is thus maintained at −V_(OS), thus, the effect of offset V_(OS) in the zero-crossing detector ZCD1 is cancelled during integration operation. It is noted that a control or logic circuit (not shown) is utilized to control the operations of the various switches.

Another example of offset cancellation is illustrated in FIG. 22. This embodiment is similar to the embodiment of FIG. 21, except two capacitors, C_(OFF1) and C_(OFF2), store the offset voltage. Capacitor C_(OFF2) is larger than capacitor C_(OFF1). For clarity, a zero-crossing detector based integrator similar to that illustrated in FIG. 4 is shown.

The current source I_(OFF) and the capacitor C_(OFF1) sample the offset voltage of the zero-crossing detector ZCD1 to cancel its effect. The value of I_(OFF) is chosen in such way that the voltage at node IN₂ ramps down during offset cancellation at approximately the same rate as the node voltage IN₂ ramps up during the normal operation.

During the offset cancellation phase, one input IN₁ is grounded by closing switches S1 ₃ and S₁₄. The switch S_(FB) is left open in order not to disturb the charge on the integrating capacitor C_(I1). Switch S_(OFF2) is closed, switch S_(OFF3) is opened, and switch S_(OFF1) is briefly closed to precharge the capacitor C_(OFF1) to a voltage V_(OFF). Next, switch S_(OFF1) is opened, and I_(OFF) is integrated on capacitor C_(OFF1).

When the zero-crossing detector ZCD1 detects the crossing of the voltage V₂ at the input IN₂ at ground potential, the switch S_(OFF2) is turned OFF, sampling the voltage on capacitor C_(OFF1). The current source I_(OFF) is then turned OFF, and switches S_(OFF2) and S_(OFF3) are closed causing the change in capacitors C_(OFF1) and S_(OFF2) to be averaged. This effectively averages sampled noise, and reduces the noise. The voltage stored on capacitors C_(OFF1) and C_(OFF2) is shown to be substantially equal in magnitude and opposite in sign to the offset V_(OS) of the zero-crossing detector ZCD1.

During the subsequent operation of the circuit as an integrator, switch S_(OFF1) is turned OFF, and switches S_(OFF2) and S_(OFF3) are left ON. Alternatively, switches S_(OFF1) and S_(OFF2) are turned OFF, and switch S_(OFF3) is left ON. The voltage at the input IN₂ of the ZCD1 is thus maintained at −V_(OS), thus, the effect of offset V_(OS) in the zero-crossing detector ZCD1 is cancelled during integration operation. It is noted that a control or logic circuit (not shown) is utilized to control the operations of the various switches.

Another example of offset cancellation is illustrated in FIG. 23. This embodiment is similar to the embodiment of FIG. 21, except the offset sampling capacitor C_(OFF) is placed in series with the input IN₁, and the current source I_(OFF) is chosen such that the ramp rate at node IN₁ is approximately the same during the offset cancellation and the normal operation. It is noted that a control or logic circuit (not shown) is utilized to control the operations of the various switches.

The current source I_(OFF) and the capacitor C_(OFF1) sample the offset voltage of the zero-crossing detector ZCD1 to cancel its effect. The value of I_(OFF) is chosen in such way that the voltage at node IN₁ ramps down during offset cancellation at approximately the same rate as the node voltage IN₁ ramps up during the normal operation.

During the offset cancellation phase, a switch S_(FB) is left open in order not to disturb the charge on the integrating capacitor CI₁, switch S_(OFF2) is closed, and switch S_(OFF1) is briefly closed to precharge the capacitor C_(OFF) to a voltage V_(OFF). Next, switch S_(OFF1) is opened, and I_(OFF) is integrated on C_(OFF).

When the zero-crossing detector ZCD1 detects the crossing of the voltage V₂ at the input IN₁ of ground, the switch S_(OFF2) is turned OFF. Shortly after, the current source I_(OFF) is turned OFF. The voltage sampled on capacitor C_(OFF) is shown to be substantially equal in magnitude and opposite in sign to the offset of the zero-crossing detector ZCD1. Therefore, the effect of offset in the zero-crossing detector ZCD1 is cancelled during subsequent operation.

Another example of offset cancellation is illustrated in FIG. 24. This embodiment is similar in operation to the embodiment of FIG. 22, except the offset is first sampled on a first offset sampling capacitor C_(OFF1) and averaged with a second offset sampling capacitor C_(OFF2) in a similar fashion to the embodiment illustrated in FIG. 22. The current source I_(OFF) and the capacitor C_(OFF1) sample the offset voltage of the zero-crossing detector ZCD1 to cancel its effect. The value of I_(OFF) is chosen in such way that the voltage at node IN₁ ramps down during offset cancellation at approximately the same rate as the node voltage IN₁ ramps up during the normal operation.

During the offset cancellation phase, a switch S_(FB) is left open in order not to disturb the charge on the integrating capacitor C_(I1), switch S_(OFF2) is closed, and switch S_(OFF1) is briefly closed to precharge the capacitor C_(OFF1) to a voltage V_(OFF). Next, switch S_(OFF1) is opened, and I_(OFF) is integrated on C_(OFF1).

When the zero-crossing detector ZCD1 detects the crossing of the voltage V₂ at the input IN₁ of ground, the switch S_(OFF1) is turned OFF. Shortly after, the current source I_(OFF) is turned OFF. The voltage sampled on capacitor C_(OFF1) is shown to be substantially equal in magnitude and opposite in sign to the offset of the zero-crossing detector ZCD1. Switch S_(OFF3) is then closed, connecting C_(OFF1) and C_(OFF2) in parallel. The charge in C_(OFF1) and C_(OFF2) is redistributed, averaging the sampled noise. After a few cycles of offset cancellation, the voltage stored on capacitors C_(OFF1) and C_(OFF2) is shown to be substantially equal in magnitude and opposite in sign to the offset Vas of the zero-crossing detector ZCD1. Therefore, the effect of offset in the zero-crossing detector ZCD1 is cancelled during subsequent operation.

Although the concepts of the present invention have been illustrated and described in connection with single-ended embodiments, the concepts of the present invention are also applicable to fully-differential configurations or fully-differential implementations of these single-ended embodiments.

For example, a fully-differential implementation of the embodiment illustrated in FIG. 24 is illustrated in FIG. 25.

The current sources I_(OFFp), I_(OFFn) and the capacitors C_(OFFp), an sample the and C_(OFFn) offset voltage of the zero-crossing detector ZCD1 differentially to cancel its effect. The values of I_(OFFp) and I_(OFFn) are chosen in such way that the difference between voltages at node IN_(1p) and IN_(1n) ramps down during offset cancellation at approximately the same rate as the difference between voltages at node IN_(1p) and IN_(1n) ramps up during the normal operation.

During the offset cancellation phase, switches S_(FBp) and S_(FBn) are left open in order not to disturb the charge on the integrating capacitors C_(I1p) and C_(I1n), switches S_(OFF2p) and S_(OFF2n) are closed, and switch switches S_(OFF1p) and S_(OFF1n) are briefly closed to precharge the capacitors C_(OFFp) and C_(OFFn) to voltages C_(OFFp) and V_(OFFn), respectively. Next, switched S_(OFF1) is opened, and I_(OFF) is integrated on C_(OFF).

When the zero-crossing detector ZCD1 detects the zero or level crossing of the difference between voltages V_(2p) and V_(2n) at the input IN_(1p) and IN_(1n), respectively, the switches S_(OFF2p) and S_(OFF2n) are turned OFF. Shortly after, the current sources I_(OFFp) and I_(OFFn) are is turned OFF. The difference between voltages sampled on capacitor C_(OFFp) and C_(OFFn) is shown to be substantially equal in magnitude and opposite in sign to the offset of the zero-crossing detector ZCD1. Therefore, the effect of offset in the zero-crossing detector ZCD1 is cancelled during subsequent operation.

As noted above, offsets, resulting primarily from device mismatches are conventionally removed by various sampling techniques, including closed-loop offset cancellation or open-loop offset cancellation. The increase in power consumption due to the offset cancellation is typically a factor of 2-4 if other parameters such as noise and speed are kept constant.

Although these techniques are theoretically compatible with zero-crossing based circuits, the conventional techniques require settling of amplifiers, thus the conventional techniques are subject to the similarly poor power efficiency of op-amp based circuits. These offset cancellation techniques, therefore, greatly reduce the low power advantage of zero-crossing based circuits.

Moreover, zero-crossing based circuits exhibit additional offset due to the overshoot caused by delay in the zero-crossing detectors. The offset caused by the overshoot is not removed by traditional offset cancellation techniques. Therefore, it is desirable to develop an offset cancellation technique that is compatible with zero-crossing based circuits, power efficient, and capable of removing offset due to the overshoot.

As shown in FIG. 26, a series capacitor C_(OS1) is placed between a virtual ground node (v_(X1) node) and the input (v_(X2) node) of zero-crossing detector 800. For simplicity of illustration, a single-ended version of the zero-crossing based circuit is shown although the actual embodiment can be fully-differential.

During the charge transfer phase of the stage, as shown in FIG. 26, an offset sampling capacitor C_(OS2) is connected, via switch S₁₂, between ground (or the system common-mode voltage V_(CM)) and the input (v_(X2) node) of the zero-crossing detector 800. The capacitor C_(OS2) is discharged during the brief preset period in the beginning of the charge transfer phase by an additional switch (not shown).

The current source I charges a set of series-connected capacitors (C₁₁ and C₁₂). Moreover, the current source I charges a set of parallel-connected next stage capacitors (C₂₁ and C₂₂) according to a conventional operation of a zero-crossing based circuit. When the voltage v_(X2) reaches the threshold of the zero-crossing detector 800, the zero-crossing detector 800 trips, which turns OFF the next stage sampling switch S₂₁, according to the conventional operation of a zero-crossing based circuit.

It is noted that the current source I may be replaced by a waveform generator, as discussed above, to apply a predetermined voltage waveform to the series-connected capacitors (C₁₁ and C₁₂) and the set of parallel-connected next stage capacitors (C₂₁ and C₂₂) according to a conventional operation of a zero-crossing based circuit.

It is further noted that that the waveform generator may include a current source and a switch.

In addition, it is noted that the predetermined voltage waveform may be a ramp waveform.

Moreover, it is noted that the waveform generator circuit may be a ramp circuit operatively coupled to the set of series-connected capacitors wherein the ramp circuit may include multiple outputs. The multiple outputs of the ramp circuit may be tri-stated during a sampling phase.

The ramp circuit may include a variable current source; a voltage bias source; and/or a set of shorting switches.

Due to the finite delay of the zero-crossing detector 800, the sampling switch S₂₁ is turned OFF when v_(X2) is slightly above the zero-crossing detector threshold, causing an overshoot of the voltage sampled on the next stage sampling capacitors (C₂₁ and C₂₂). The zero-crossing detector threshold voltage itself may contain offset due to device mismatches. The combined effect of the overshoot and device mismatch is offset in the sampled voltage, and causes overall offset in the analog-to-digital converter.

In order to substantially remove or significantly reduce these offsets, the offset sampling capacitor C_(OS2) samples v_(X2) at substantially the same instant the output is sampled on the next stage sampling capacitors (C₂₁ and C₂₂). This is accomplished by turning the offset sampling switch S₁₂ OFF at the same time the next stage sampling switch S₂₁ is turned OFF, namely when the zero-crossing detector 800 trips.

During the sampling phase, as shown in FIG. 27, the offset sampling capacitor C_(OS2) is connected in parallel with series capacitor C_(OS1). In order to reduce random noise, series capacitor C_(OS1) is much larger than offset sampling capacitor C_(OS2).

After a number of cycles, the voltage across series capacitor C_(OS1) converges to the voltage sampled on offset sampling capacitor C_(OS2). This ensures that the sampling switch S₂₁ is turned OFF at the instant v_(X1) is precisely at ground (or the system common-mode voltage V_(CM)), thereby eliminating the effect of the overshoot and any offset voltage in the zero-crossing detector.

Since the offset cancellation is passive, it does not add any significant power consumption in the circuit. The additional power consumption is on the order of C_(OS2) (V_(OS))²f_(s) where V_(OS) is the sum of overshoot and offset referred to the input of the zero-crossing detector 800, and f_(s) is the sampling frequency.

Since both V_(OS) and C_(OS2) are small, the resulting power consumption is very small. The additional noise is largely determined by series capacitor C_(OS1). By making series capacitor C_(OS1) large, the additional noise can be made arbitrarily low without increasing the power consumption.

In summary, a zero-crossing detector with effective offset cancellation may include a set of series connected capacitors; an amplifier having an input terminal; an offset capacitor operatively connected between the amplifier and the set of series connected capacitors; a switch operatively connected to the input terminal; and an offset sampling capacitor operatively connected to the switch. The switch may connect the offset sampling capacitor to the input terminal of the amplifier during a charge transfer phase.

The offset sampling capacitor may be operatively connected to a system common-mode voltage or ground.

A zero-crossing detector based circuit with effective offset cancellation may include a zero-crossing detector to detect an input voltage crossing another voltage; a set of series connected capacitors; a waveform generator circuit, operatively connected to the set of series connected capacitors, to apply a predetermined voltage waveform; an offset capacitor operatively connected between the zero-crossing detector and the set of series connected capacitors; a switch operatively connected to the input terminal; and an offset sampling capacitor operatively connected to the switch. The switch may connect the offset sampling capacitor to the input terminal of the amplifier during a charge transfer phase.

The waveform generator circuit may include a current source and a switch. The predetermined voltage waveform may be a ramp. The waveform generator circuit may be a ramp circuit operatively coupled to the set of series-connected capacitors, the ramp circuit including multiple outputs. The multiple outputs of the ramp circuit may be tri-stated during a sampling phase.

The ramp circuit may include a variable current source; a voltage bias source; and/or a set of shorting switches. The offset sampling capacitor may be operatively connected to a system common-mode voltage or ground.

A zero-crossing detector based circuit with effective offset cancellation, may include a zero-crossing detector with a first input and a second input; a set of series connected capacitors; an offset capacitor operatively connected between the zero-crossing detector and the set of series connected capacitors; a switch operatively connected to the first input of the zero-crossing detector; and an offset sampling capacitor operatively connected to the switch. The switch may connect the offset sampling capacitor to the first input of the zero-crossing detector during a charge transfer phase. The switch may disconnect the offset sampling capacitor from the first input of the zero-crossing detector in response to the zero-crossing detector detecting a zero-crossing.

The offset sampling capacitor is operatively connected to a system common-mode voltage or ground. The offset sampling capacitor may be operatively connected to ground. The waveform generator circuit may be a ramp circuit operatively coupled to the set of series-connected capacitors, the ramp circuit including multiple outputs. The multiple outputs of the ramp circuit may be tri-stated during a sampling phase.

The ramp circuit may include a variable current source, a voltage bias source, and/or a set of shorting switches.

A method for effectively cancelling offset and effectively eliminating the effect of overshoot in a zero-crossing detector based circuit may connect, using a sampling switch, an offset sampling capacitor, during a charge transfer phase, between a common-mode voltage and an input of a zero-crossing detector; disconnect the offset sampling capacitor from the input of a zero-crossing detector, in response to the zero-crossing detector detecting a zero-crossing; and connect, during a sampling phase, the offset sampling capacitor in parallel with a second capacitor, the second capacitor having a greater capacitance than the offset sampling capacitor.

The common-mode voltage may be ground.

Although concepts have been illustrated and described in connection with zero-crossing detector based circuits, the concepts are also applicable to zero-crossing detector based circuits.

While various examples and embodiments have been shown and described, it will be appreciated by those skilled in the art that the spirit and scope of the concepts of the various examples and embodiments are not limited to the specific description and drawings herein, but extend to various modifications and changes. 

What is claimed is:
 1. A circuit with effective offset cancellation, comprising: a zero-crossing detector with a first input and a second input; a set of series-connected capacitors; an offset capacitor operatively connected between the zero-crossing detector and the set of series-connected capacitors; a switch operatively connected to the first input of the zero-crossing detector; and an offset sampling capacitor operatively connected to the switch, the switch connecting the offset sampling capacitor to the first input of the zero-crossing detector during a charge transfer phase, the switch disconnecting the offset sampling capacitor from the first input of the zero-crossing detector in response to the zero-crossing detector detecting a zero-crossing.
 2. The circuit with effective offset cancellation as claimed in claim 1, wherein the offset sampling capacitor is operatively connected to a system common-mode voltage.
 3. The circuit with effective offset cancellation as claimed in claim 1, wherein the offset sampling capacitor is operatively connected to ground.
 4. The circuit as claimed in claim 1, further comprising a current source coupled to the set of series-connected capacitors, the current source charges the set of series-connected capacitors.
 5. The circuit as claimed in claim 4, wherein the current source is a waveform generator circuit, the waveform generator applies a predetermined voltage waveform to the series-connected capacitors.
 6. The circuit as claimed in claim 4, wherein the current source is a waveform generator circuit comprises a ramp circuit, the ramp circuit applies a ramp waveform to the series-connected capacitors.
 7. The circuit as claimed in claim 6, wherein the ramp circuit comprises multiple outputs.
 8. The circuit as claimed in claim 7, wherein the multiple outputs of are tri-stated during a sampling phase.
 9. The circuit as claimed in claim 7, wherein the ramp circuit comprises a variable current source.
 10. The circuit as claimed in claim 7, wherein the ramp circuit comprises a voltage bias source.
 11. The circuit as claimed in claim 7, wherein the ramp circuit comprises a set of shorting switches.
 12. A method to cancel offset and eliminate the effect of overshoot in a zero-crossing detector based circuit, the method comprising: connecting, using a sampling switch, an offset sampling capacitor, during a charge transfer phase, between a common-mode voltage and an input of the zero-crossing detector; disconnecting the offset sampling capacitor from the input of the zero-crossing detector in response to the zero-crossing detector detecting a zero-crossing; and connecting, during a sampling phase, the offset sampling capacitor in parallel with a second capacitor.
 13. The method as claimed in claim 12, wherein the second capacitor has a greater capacitance than the offset sampling capacitor.
 14. The method as claimed in claim 12, further comprising turning off the sampling switch at a time when a terminal of the second capacitor is at the common-mode voltage.
 15. The method as claimed in claim 12, wherein the common-mode voltage is ground. 